It depends on what I am in the scenario.
If I'm a smaller dinosaur, then I'll rip her throat out when she tries to hug me. I'll bet a grappler would be in for a helluva surprise when there are that many talons and teeth coming at you!
If I'm a bigger dinosaur then I'd just bite her in two. I might not even register a threat, to be honest.
If I'm a goose, I'd arm-bar her first. Geese are crazy skilled at pro sports.
If I'm a pirate I'd shoot her. But if I missed I'd go down like a sack of poop after one punch. But it would look cool, and there'd be epic pirate music playing, and I'd likely get tossed off the deck, shrieking into the frothing sea! Awesome.
Cowboy, same as pirate. exactly the same as pirate.
If it was, however, just me, then I would be in a lot of trouble, because I cannot fight. I'm not much of a runner, either. I read that Gina Carrano could generate 800 lbs of force with a kick, easily enough to break the bones of any but the most skilled counter deflection, and actually more force than men equal to her size/weight category.I mention this only because based on this I can imagine that Rousey is not too far off of that mark, even if her strength is not kicking.
One thing I won't do is send her a dick pic.